Paper Info
Title
New approaching condition for sliding mode control design with Lipschitz switching surface.
Abstract
In this paper, we concern the approaching condition of sliding mode control (SMC) with a Lipschitz switching surface that may be nonsmooth. New criteria on the relation between phase trajectories and an arbitrary Lipschitz continuous surface are examined firstly. Filippov’s differential inclusion is adopted to describe the dynamics of trajectories of the closed-loop system with SMC. Compared with Filippov’s criteria for only smooth surface, new criteria are proposed by utilizing the cone conditions that allow the surface to be nonsmooth. This result also yields a new approaching condition of SMC design. Based on the new approaching condition, we develop the sliding mode controller for a class of nonlinear single-input single-output (SISO) systems, of which the switching surface is designed Lipschitz continuous for the nonsmooth sliding motion. Finally, we provide a numerical example to verify the new design method.
Year
DOI
Venue
2009
10.1007/s11432-009-0186-6
Science in China Series F: Information Sciences
Keywords
Field
DocType
design method,lipschitz continuity,differential inclusion,sliding mode control
Differential inclusion,Mathematical optimization,Control theory,Nonlinear system,Control theory,Lipschitz continuity,Mathematics,Sliding mode control
Journal
Volume
Issue
ISSN
52
11
1862-2836
Citations 
PageRank 
References 
2
0.38
6
Authors
3
Name
Order
Citations
PageRank
Kai Zheng163.32
Tielong Shen224340.52
Yao Yu37822.67